SpringerBriefs in Probability and Mathematical Statistics

Path Coupling and Aggregate Path Coupling

Authors: Kovchegov, Yevgeniy, Otto, Peter T.

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  • Provides a comprehensive background on coupling and path coupling
  • Can be used as a standalone research monograph
  • Considered to be the first comprehensive book on the topic
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  • ISBN 978-3-319-77019-2
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Softcover $54.99
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  • ISBN 978-3-319-77018-5
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About this book

This book describes and characterizes an extension to the classical path coupling method applied to statistical mechanical models, referred to as aggregate path coupling.  In conjunction with large deviations estimates, the aggregate path coupling method is used to prove rapid mixing of Glauber dynamics for a large class of statistical mechanical models, including models that exhibit discontinuous phase transitions which have traditionally been more difficult to analyze rigorously.  The book shows how the parameter regions for rapid mixing for several classes of statistical mechanical models are derived using the aggregate path coupling method.

Table of contents (7 chapters)

Table of contents (7 chapters)
  • Coupling, Path Coupling, and Mixing Times

    Pages 1-22

    Kovchegov, Yevgeniy (et al.)

  • Statistical Mechanical Models and Glauber Dynamics

    Pages 23-36

    Kovchegov, Yevgeniy (et al.)

  • Large Deviations and Equilibrium Macrostate Phase Transitions

    Pages 37-51

    Kovchegov, Yevgeniy (et al.)

  • Path Coupling for Curie-Weiss Model

    Pages 53-54

    Kovchegov, Yevgeniy (et al.)

  • Aggregate Path Coupling: One-Dimensional Theory

    Pages 55-64

    Kovchegov, Yevgeniy (et al.)

Buy this book

eBook $39.99
price for USA in USD
  • ISBN 978-3-319-77019-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA in USD
  • ISBN 978-3-319-77018-5
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Path Coupling and Aggregate Path Coupling
Authors
Series Title
SpringerBriefs in Probability and Mathematical Statistics
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
The Author(s), under exclusive licence to Springer International Publishing AG, part of Springer Nature 2018
eBook ISBN
978-3-319-77019-2
DOI
10.1007/978-3-319-77019-2
Softcover ISBN
978-3-319-77018-5
Series ISSN
2365-4333
Edition Number
1
Number of Pages
XI, 96
Number of Illustrations
8 b/w illustrations, 4 illustrations in colour
Topics